Explanation Let r ( t ) be the parameterization of a curve C for a ≤ t ≤ b . If f ( x , y , z ) and r ' ( t ) are continuous, then ∫ C f ( x , y , z ) d s = ∫ a b f ( r ( t ) ) ‖ r ' ( t ) ‖ d t . Given: The function f ( x , y , z ) = x − 1 y z and the given parameterization of curve C is r ( t ) = ( ln t , t , t 2 ) for 2 ≤ t ≤ 4 . Formula Used: ∫ C f ( x , y , z ) d s = ∫ a b f ( r ( t ) ) ‖ r ' ( t ) ‖ d t … ( 1 ) Calculation: Calculating f ( r ( t ) ) , f ( r ( t ) ) = f ( ln t , t , t 2 ) = ( ln t ) − 1 ( t )

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17.2, Problem 35E

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The integral $\int_{C} f (x, y, z) d s$ to four decimal places using a computer algebra system.

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Chapter 17.2, Problem 34E

Chapter 17.2, Problem 36E

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Let F = (y – x, ry) and let C be the line segment from (2, –3) to (1, –1). Evaluate F. dr.

Chapter 17 Solutions

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The integral ∫ C f ( x , y , z ) d s to four decimal places using a computer algebra system.

Solution Summary: The author calculates the integral C f ( x, y. z ) d s to four decimal places using a computer algebra system.

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To calculate:

The integral $\int_{C} f (x, y, z) d s$ to four decimal places using a computer algebra system.

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Chapter 17 Solutions

The integral ∫ C f ( x , y , z ) d s to four decimal places using a computer algebra system.

Solution Summary: The author calculates the integral C f ( x, y. z ) d s to four decimal places using a computer algebra system.

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To calculate: The integral ∫Cf(x,y,z)ds to four decimal places using a computer algebra system.

Want to see the full answer?

Chapter 17 Solutions

To calculate:

The integral $\int_{C} f (x, y, z) d s$ to four decimal places using a computer algebra system.